Monday, March 7, 2011

We have to find the zeros of `f(x) = sin(x-pi/4).`

Hello!


Well, this task isn't very complicated. Recall that zeros of a function `f(x)` is the points `x` at which `f(x)=0.`


So we have to solve the equation  `sin(x-pi/4)=0.`


The general solution of the equation  `sin(w)=0` is `w=k pi,` where `k` is any integer (yes, this means that there are infinitely many solutions).


In our case `w=x-pi/4=k pi,` so `x=pi/4+k pi.` This is the answer(s) (remember `k` is any integer).

No comments:

Post a Comment